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Finding the Fourth Proportional to 6,474.51, 9,703.35 and 3,188.52

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Solution

The fourth proportional to 6,474.51, 9,703.35 and 3,188.52 is: 4,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.51 : 9,703.35 = 3,188.52 : x
  2. Step 2: Convert to fraction form
    6,474.51/9,703.35 = 3,188.52/x
  3. Step 3: Cross multiply
    6,474.51x = 9,703.35 × 3,188.52
  4. Step 4: Simplify right side
    6,474.51x = 30,939,325.54
  5. Step 5: Solve for x
    x = 30,939,325.54/6,474.51
  6. Step 6: Final answer
    x = 4,778.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.